Find all solution to the equation 3tan(x)=8/sin(x) for 0<=x<=360 degrees

By multipying across and using some trigonometric identities we can turn this in to a much simpler quatratic which can be solved using the quadratic formula. This step can be simplified by using the substitution y=cos(x). Using this we find y=1/3, -3 and hence cos(x)=1/3, -3. The latter has no real solutions as x is bounded between -1 and 1. However 1/3 gives a solution of approximately 70.5 degrees. It's important to remember the second solution of 289.5 degrees, this is due to the nature of the cosine graph and the range we have been given in the question.

Answered by James B. Maths tutor

5196 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Solve the equation cos2x - 5cosx = 2


Differentiate y= 8x^2 +4x +5


A curve C has equation y = 3x^4 - 8x^3 - 3. Find dy/dx and d2y/dx2. Verify C has a stationary point at x = 2. Determine the nature of this stationary point, giving a reason for the answer.


The curve y = 2x^3 -ax^2 +8x+2 passes through the point B where x = 4. Given that B is a stationary point of the curve, find the value of the constant a.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences